Determine whether or not each set is compact and whether or not it is convex.

Use the sets from Exercise 4.

Data From Exercise 4

Determine whether each set is open or closed or neither open nor closed.

a. {(x, y): x + y = 1} b. {(x, y): x + y > 1} c. {(x, y): x + y 1 and y>0} d. {(x, y): y x} {(x, y): y < x} e.